6432141 ÷ 507 
We want to figure out the number of times 6432141 can be divided by 507.

Advancing to step 1:
6 divided by 507 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 507

Advancing to step 2:
When dividing 64 by 507, we get 0 with a remainder of 64.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Grab the next digit (3) from the dividend, add it to 64, then carry on: 643 / 507

Advancing to step 3:
507 goes into 643 1 times with a remainder of 136.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 507 from 643 leaves us with 136.
Append the next digit (2) from the dividend to 136 and continue with: 1362 / 507

Moving on to step 4:
1362 divided by 507 is 2 with a remainder of 348.
Use 2 as the next digit of our solution. 
Result so far: 12.0
The remainder is 348 after subtracting 1014 from 1362.
Take the next digit (1) from the dividend and append it to 348, then repeat: 3481 / 507

On to step 5:
If we divide 3481 by 507, we get 6 and a remainder of 439.
Put 6 as the next digit of the answer. 
Result so far: 126.0
The remainder is 439 after subtracting 3042 from 3481.
Bring next digit (4) of the dividend behind the 439 and repeat the process: 4394 / 507

Let's proceed to step 6:
If we divide 4394 by 507, we get 8 and a remainder of 338.
The number 8 becomes the next digit in our result. 
Result so far: 1268.0
Deduct 4056 from 4394 and we're left with 338.
Include the next digit (1) from the dividend after 338, then repeat: 3381 / 507

Moving on to step 7:
The number 507 fits into 3381 6 times, leaving a remainder of 339.
Write down 6 as next digit of the result. 
Result so far: 12686.0
The remainder is 339 after subtracting 3042 from 3381.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3390, and continue the process.

Let's proceed to step 8:
507 goes into 3390 6 times with a remainder of 348.
The number 6 becomes the next digit in our result. 
Result so far: 12686.6
Subtracting 3042 from 3390 leaves us with 348.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3480, and continue the process.

Moving on to step 9:
507 goes into 3480 6 times with a remainder of 438.
The number 6 becomes the next digit in our result. 
Result so far: 12686.66
If we subtract 3042 from 3480, we get 438.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4380, and continue the process.

The final outcome is 12686.66, with a leftover of 0.438.